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Simplifying 392 = 8(1 + -6p) 392 = (1 * 8 + -6p * 8) 392 = (8 + -48p) Solving 392 = 8 + -48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '48p' to each side of the equation. 392 + 48p = 8 + -48p + 48p Combine like terms: -48p + 48p = 0 392 + 48p = 8 + 0 392 + 48p = 8 Add '-392' to each side of the equation. 392 + -392 + 48p = 8 + -392 Combine like terms: 392 + -392 = 0 0 + 48p = 8 + -392 48p = 8 + -392 Combine like terms: 8 + -392 = -384 48p = -384 Divide each side by '48'. p = -8 Simplifying p = -8
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